Irreducible modules of toroidal Lie algebras arising from ϕ-coordinated modules of vertex algebras
Irreducible modules of toroidal Lie algebras arising from ϕ-coordinated modules of vertex algebras
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DOI：
10.1016/j.jalgebra.2022.08.007
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发表时间：
2022-08
影响因子：
0.9
通讯作者：
Fulin Chen;Huansheng Li;Nina Yu
中科院分区：
文献类型：
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作者：
Fulin Chen;Huansheng Li;Nina Yu
本文对任意的ε∈ Z，引入了2-toroidal李代数的一个扩张。基于顶点代数的最高配位模理论，给出了这类扩张环面李代数的一类不可约最高权模的一个显式实现。当λ = 1时，这为首先由Billig构造的环面扩张仿射李代数提供了某些不可约模的实现。
In this paper, for every ϵ∈ Z, we introduce an extension of the 2-toroidal Lie algebra by certain derivations. Based on the ϕ ϵ-coordinated modules theory for vertex algebras, we give an explicit realization of a class of irreducible highest weight modules for this extended toroidal Lie algebra. When ϵ= 1, this affords a realization of certain irreducible modules for the toroidal extended affine Lie algebras first constructed by Billig.